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A train travels due south at 30 m/s (rel...

A train travels due south at 30 m/s (relative to the ground) in a rain that is blown toward the south by the wind. The path of each raindrop makes an angle of 70 with the vertical, as measured by an observer stationary on the ground. An observer on the train, however, sees the drops fall perfectly vertically. Determine the speed of the raindrops relative to the ground.

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To solve the problem, we need to analyze the motion of the raindrops as seen by both the observer on the ground and the observer on the train. ### Step-by-Step Solution: 1. **Define the Variables:** - Let the speed of the train relative to the ground be \( V_t = 30 \, \text{m/s} \) (southward). - Let the speed of the raindrops relative to the ground be \( V_r \). - The angle made by the raindrops with the vertical as observed from the ground is \( \theta = 70^\circ \). ...
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